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The title sentence for The Girl with the Dragon Tattoo was created by Onur Senturk for Blur studio. Tim Miller (the creative director of the project) asked why he decided to go with the oozing black tar look responds:
"Everything was supposed to be a fever dream of Salander's. David wanted this to be her personal nightmare, flashbacking through all these moments. Early on, we knew it was supposed to feel like a nightmare. When we originally started out he wanted to find some sort of defining creative pulsar that we could head towards — like for Alien, it was [H.R.] Giger's work. It was the aesthetic that guided that whole movie.
We looked at a bunch of fine art, but nothing really tweaked. But there was this artist who would paint himself black and stand in the middle of a gallery, David really responded to that. And, for whatever reason, a lot of the vignettes I wrote had liquid in them. Which was a big part of the story, the drowning, the river that separated the island."
The whole video is to be watched right below, and if you wanna read the rest on the interveiw visit io9.com.